abstract

Phononic band gap materials are a class of materials having the capability to prevent the propagation of waves in a certain frequency range, forming a band gap in the spectrum. Such a material usually consists of a large number of scatterers embedded in a host material in a regular lattice pattern. The band gap is determined by the material properties and the geometry of the microstructure. Usually, when such a structured material is cast, the band gap is fixed. In a recent study by the author, it is found that in the case of single multilayered scatterer, the scattered wave field is extremely sensitive to any eccentricity in the layers of the scatterer. In this paper, effects of eccentricity on single scattering, along with the solution approach, is briefly reviewed. The multiple scattering effects due to the scatterer eccentricity are studied through deterministic analysis of the multiple scattering process in an array of identical dual-layer eccentric scatterers. The analyses are performed by using an analytically exact multiple-scattering solution developed by the author in his earlier publications. Numerical examples are based on the materials used in a metal-matrix ceramic fiber reinforced composite system. Multiple scattering analyses demonstrated that the capabilities of tuning the wave scattering pattern by adjusting the geometric parameters of the eccentricity are significantly enhanced in the multiple scatterer setting. It is suggested that, if the eccentricity can be controlled through external mechanism, it is possible to design tunable phononic sonic crystals using such multilayered eccentric scatterers.

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